A Technique for Updating Hierarchical Skeletonization-Based Factorizations of Integral Operators
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Publication:3459669
DOI10.1137/15M1024500zbMATH Open1329.65317arXiv1411.5706WikidataQ114074339 ScholiaQ114074339MaRDI QIDQ3459669
Author name not available (Why is that?)
Publication date: 11 January 2016
Published in: (Search for Journal in Brave)
Abstract: We present a method for updating certain hierarchical factorizations for solving linear integral equations with elliptic kernels. In particular, given a factorization corresponding to some initial geometry or material parameters, we can locally perturb the geometry or coefficients and update the initial factorization to reflect this change with asymptotic complexity that is polylogarithmic in the total number of unknowns and linear in the number of perturbed unknowns. We apply our method to the recursive skeletonization factorization and hierarchical interpolative factorization and demonstrate scaling results for a number of different 2D problem setups.
Full work available at URL: https://arxiv.org/abs/1411.5706
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